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Finding the Fourth Proportional to 12,785.90, 19,154.28 and 7,841.12

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Solution

The fourth proportional to 12,785.90, 19,154.28 and 7,841.12 is: 11,746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.90 : 19,154.28 = 7,841.12 : x
  2. Step 2: Convert to fraction form
    12,785.90/19,154.28 = 7,841.12/x
  3. Step 3: Cross multiply
    12,785.90x = 19,154.28 × 7,841.12
  4. Step 4: Simplify right side
    12,785.90x = 150,191,007.99
  5. Step 5: Solve for x
    x = 150,191,007.99/12,785.90
  6. Step 6: Final answer
    x = 11,746.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.